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Finding the Fourth Proportional to 162.78, 243.65 and 113.97

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Solution

The fourth proportional to 162.78, 243.65 and 113.97 is: 170.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.78 : 243.65 = 113.97 : x
  2. Step 2: Convert to fraction form
    162.78/243.65 = 113.97/x
  3. Step 3: Cross multiply
    162.78x = 243.65 × 113.97
  4. Step 4: Simplify right side
    162.78x = 27,768.22
  5. Step 5: Solve for x
    x = 27,768.22/162.78
  6. Step 6: Final answer
    x = 170.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.